Generalized Dedekind completion of a lattice ordered group

DOI10.21136/cmj.1978.101532zbMath0391.06013OpenAlexW2626733036MaRDI QIDQ4172103

Jan Jakubík

Publication date: 1978

Full work available at URL: https://eudml.org/doc/13062

zbMATH Keywords

Archimedean Kernel of a GroupEpiarchimedean and Conditionally Orthogonally Complete GroupGeneralized Dedekind CompletionLattice Ordered GroupRadical Class of GroupsStrongly Projectable Group

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Ordered groups (06F15) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (6)

Unnamed Item ⋮ Maximal Dedekind completion of an abelian lattice-ordered group ⋮ Isometries of lattice ordered groups ⋮ On cut completions of abelian lattice ordered groups ⋮ Distinguished Completion of a Direct Product of Lattice Ordered Groups ⋮ Ordered groups

Cites Work

• Completely distributive lattice-ordered groups
• Conditionally \(\alpha\)-complete sublattices of a distributive lattice
• Irreversibility and Heat Generation in the Computing Process
• Epi-archimedean groups
• Distributivity in lattice ordered groups
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